x^4-17x^3+17x^2-17x+17atx=16

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Solution for x^4-17x^3+17x^2-17x+17atx=16 equation:


Simplifying
x4 + -17x3 + 17x2 + -17x + 17atx = 16

Reorder the terms:
17atx + -17x + 17x2 + -17x3 + x4 = 16

Solving
17atx + -17x + 17x2 + -17x3 + x4 = 16

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '17x' to each side of the equation.
17atx + -17x + 17x2 + -17x3 + 17x + x4 = 16 + 17x

Reorder the terms:
17atx + -17x + 17x + 17x2 + -17x3 + x4 = 16 + 17x

Combine like terms: -17x + 17x = 0
17atx + 0 + 17x2 + -17x3 + x4 = 16 + 17x
17atx + 17x2 + -17x3 + x4 = 16 + 17x

Add '-17x2' to each side of the equation.
17atx + 17x2 + -17x3 + -17x2 + x4 = 16 + 17x + -17x2

Reorder the terms:
17atx + 17x2 + -17x2 + -17x3 + x4 = 16 + 17x + -17x2

Combine like terms: 17x2 + -17x2 = 0
17atx + 0 + -17x3 + x4 = 16 + 17x + -17x2
17atx + -17x3 + x4 = 16 + 17x + -17x2

Add '17x3' to each side of the equation.
17atx + -17x3 + 17x3 + x4 = 16 + 17x + -17x2 + 17x3

Combine like terms: -17x3 + 17x3 = 0
17atx + 0 + x4 = 16 + 17x + -17x2 + 17x3
17atx + x4 = 16 + 17x + -17x2 + 17x3

Add '-1x4' to each side of the equation.
17atx + x4 + -1x4 = 16 + 17x + -17x2 + 17x3 + -1x4

Combine like terms: x4 + -1x4 = 0
17atx + 0 = 16 + 17x + -17x2 + 17x3 + -1x4
17atx = 16 + 17x + -17x2 + 17x3 + -1x4

Divide each side by '17tx'.
a = 0.9411764706t-1x-1 + t-1 + -1t-1x + t-1x2 + -0.05882352941t-1x3

Simplifying
a = 0.9411764706t-1x-1 + t-1 + -1t-1x + t-1x2 + -0.05882352941t-1x3

Reorder the terms:
a = t-1 + 0.9411764706t-1x-1 + -1t-1x + t-1x2 + -0.05882352941t-1x3

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